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Finding the Fourth Proportional to 1,340,123.16, 1,849,800.96 and 857,986.88

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Solution

The fourth proportional to 1,340,123.16, 1,849,800.96 and 857,986.88 is: 1,184,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,123.16 : 1,849,800.96 = 857,986.88 : x
  2. Step 2: Convert to fraction form
    1,340,123.16/1,849,800.96 = 857,986.88/x
  3. Step 3: Cross multiply
    1,340,123.16x = 1,849,800.96 × 857,986.88
  4. Step 4: Simplify right side
    1,340,123.16x = 1,587,104,954,291.40
  5. Step 5: Solve for x
    x = 1,587,104,954,291.40/1,340,123.16
  6. Step 6: Final answer
    x = 1,184,297.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.